The butterfly effects would add up and and any zygote formed would not be the hitler-as-we-know anymore, since it would be a different combination of sperm and eggs.
Who needs guns when you got a time machine? Don’t like your highschool bully, just bump into their parents back in time. Or you know, “bump” ( ͡° ͜ʖ ͡°) into their parents.
The butterfly effect refers to divergent chaotic systems. Chaos in math isn’t the layman’s chaos. It doesn’t mean wild. It only means there is no closed form mathematical solution. For example stepping on a butterfly can’t affect the weather such that the moon would crash into the Earth.
Bumping into Hitler’s parents wouldn’t necessarily change anything. You have to do something drastic such that he was conceived days to weeks apart such that the sperm was completely different. Even a minor delay wouldn’t affect it because the sperm that fertilizes an egg isn’t random. There are selection hurdles in mobility that the sperm passes such that the most “fit” is likely the one that fertilizes the egg.
No it doesn’t mean that. It means that tiny changes in input result in big changes in the output.
By your definition, a simple ellipse is chaotic. Which it clearly isn’t. Tiny changes in the axes result in tiny changes to its shape, and by extension its perimeter. Yet there is no closed form formula for the perimiter of an ellipse.
This could also be verified using a simple dictionary, not even a math textbook.
A tiny change could mean a big change but it doesn’t mean that change must be unlimited. For example a double pendulum is a classic chaotic system. There is no solution but that doesn’t mean the pendulum can move greater than the length of its segments. It’s still a bound system.
https://en.m.wikipedia.org/wiki/Chaos_theory
More importantly, in the real world, if you push a double pendulum, it won’t flail endlessly. It will eventually converge to the single state of rest.
what does any of that have to do with anything I said? By the way, that wikepedia page doesn’t contain the word “closed” anywhere in it. just saying
Chaos means that a small change in initial conditions can lead to drastically different places in the long term, so I think OP was using the idea correctly. Though I agree that just bumping into the parents may not be enough to push the system into another trajectory.
Chaos means that a small change in initial conditions can lead to drastically different places in the long term
Yes, what I was trying to explain is that it could (no closed form) but doesn’t necessarily mean that is must. A chain with 2 segments is a double pendulum, the classic simple chaotic system. If you hold a piece of chain and give it a light tap, it will move chaotically for a few seconds and then come back to rest. The system will not have changed. Even with a hard push, the chain can’t move beyond the limit of the links.
If you gave Hitler’s dad a push, he would stumble for a second (chaotically), then go back to walking (return to initial state). Nothing would change.
